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If the range of the eight numbers 17, 8, 14, 28, 9, 4, 11, and n is 25

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Carcass
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If the range of the eight numbers 17, 8, 14, 28, 9, 4, 11, and n is 25 [#permalink] New post   17 Sep 2021, 09:44
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If the range of the eight numbers 17, 8, 14, 28, 9, 4, 11, and n is 25, what is the difference between the greatest possible value of n and the least possible value of n?

A. 1
B. 3
C. 21
D. 26
E. 29
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Re: If the range of the eight numbers 17, 8, 14, 28, 9, 4, 11, and n is 25 [#permalink] New post   17 Sep 2021, 09:52
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Solution:

n can carry two values one is the lowest from the given range and the other is greater than the number in the given range

i.e. 17, 8, 14, 28, 9, 4, 11- The lowest number here is 4.
Thus, Greatest number-lowest number=25
x-4=25
x=29
Similarly we can now substitute greatest number as 28 and get lowest number to be 3
Therefore the lowest value n can carry is 3 and greatest it can carry is 29

29-3=26

IMO D

Hope this helps!
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Re: If the range of the eight numbers 17, 8, 14, 28, 9, 4, 11, and n is 25 [#permalink] New post   17 Sep 2021, 09:56
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Carcass wrote:
If the range of the eight numbers 17, 8, 14, 28, 9, 4, 11, and n is 25, what is the difference between the greatest possible value of n and the least possible value of n?

A. 1
B. 3
C. 21
D. 26
E. 29

Arrange the known values in ASCENDING order to get: 4, 8, 9, 11, 14 17, 28
28 - 4 = 24
So the range of the known values is 24

We're told that the range is 25, which means n is EITHER 3 or 29
So, 3 is the at least possible value of n, and 29 is the greatest possible value of n

What is the difference between the greatest possible value of n and the least possible value of n?
Answer: 29 - 3 = 26

Answer: D

Cheers,
Brent
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Re: If the range of the eight numbers 17, 8, 14, 28, 9, 4, 11, and n is 25 [#permalink] New post   10 Oct 2022, 04:24
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If the range of the eight numbers 17, 8, 14, 28, 9, 4, 11, and n is 25 [#permalink]
10 Oct 2022, 04:24
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